What is 1.185 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.185 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 1.185 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

1.185 as a fraction equals 1185/1000 or 237/200

Now let's break down the steps for converting 1.185 into a fraction.

Step 1:

First, we express 1.185 as a fraction by placing it over 1:
1.185/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.185 x 1000/1 x 1000
  =  
1185/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 1185 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 1185 are: 1 3 5 15 79 237 395 1185
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 1185 and 1000 is: 5

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 5 in this case.
1185 ÷ 5/1000 ÷ 5
  =  
237/200


Great Work! We've just determined that 1.185 as a fraction equals 1185/1000 or 237/200 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.


Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

For a structured learning approach with video lessons try the Khan Academy.

For a self-study courses for Algebra. We recommend Purple Math.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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